Variational Method for Percussion Motion of a Non-Ideal Constraint System-Reference-Cited by-同舟云学术

Variational Method for Percussion Motion of a Non-Ideal Constraint System

Published:2010-10 Issue: Volume:145 Page:5-9
ISSN:1662-8985
Container-title:Advanced Materials Research
language:
Short-container-title:AMR

Author:

Yao Wen Li¹,Gao Lu Lu²

Affiliation:

1. Qingdao Technological University

2. Shandong University of Science and Technology

Abstract

The purpose is to study the variational method for impact problem of a non-ideal constraint system. Compared to an ideal constraint system, a non-ideal constraint system has more practical engineering background, but it contains unknown non-ideal constraint forces, which usually can be written as the function of ideal constrained forces. The existing analytical method on ideal constraint systems does not contain constraint forces. The non-ideal constraint forces are considered for impact problems in the variational principle, and then by method of Lagrange multipliers, equations for impact motion of a holonomic system and an expression of the kinetic energy variation during the impact motion are obtained.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Link

https://www.scientific.net/AMR.145.5.pdf

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